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242202222042 = 231171140936683
BaseRepresentation
bin1110000110010001100…
…0001001110111011010
3212011011111012200201020
43201210120021313122
512432012232101132
6303133254103310
723332665630144
oct3414430116732
9764144180636
10242202222042
1193798927260
123ab3504ab36
1319abb7005b1
14ba18d47c94
15647846652c
hex3864609dda

242202222042 has 64 divisors (see below), whose sum is σ = 536278993920. Its totient is φ = 72307558400.

The previous prime is 242202222023. The next prime is 242202222043. The reversal of 242202222042 is 240222202242.

It is not an unprimeable number, because it can be changed into a prime (242202222043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6584233 + ... + 6620915.

It is an arithmetic number, because the mean of its divisors is an integer number (8379359280).

Almost surely, 2242202222042 is an apocalyptic number.

242202222042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242202222042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268139496960).

242202222042 is an abundant number, since it is smaller than the sum of its proper divisors (294076771878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242202222042 is a wasteful number, since it uses less digits than its factorization.

242202222042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38179.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 242202222042 its reverse (240222202242), we get a palindrome (482424424284).

The spelling of 242202222042 in words is "two hundred forty-two billion, two hundred two million, two hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1409 1562 2343 2818 4227 4686 8454 15499 30998 36683 46497 73366 92994 100039 110049 200078 220098 300117 403513 600234 807026 1100429 1210539 2200858 2421078 2604493 3301287 5208986 6602574 7813479 15626958 28649423 51686347 57298846 85948269 103372694 155059041 171896538 310118082 568549817 1137099634 1705649451 3411298902 3669730637 7339461274 11009191911 22018383822 40367037007 80734074014 121101111021 242202222042